Functions are hard hehruwhdiwbf

9514 1404 393

Answer:

  f(g(x)) = 10x³ +16

Step-by-step explanation:

Put the function arguments where they go and simplify in the usual way.

  f(g(x)) = f(√(5x³)) = 2(√(5x³))² +16 = 2(5x³) +16

  f(g(x)) = 10x³ +16

_____

Without knowing what f(x) and g(x) relate to in the real world, it is difficult to say what f(g(x)) represents. It is a composite function in which the value of g(x) is used as the argument for f(x).

Answer:

A differential equation of the form: [tex]dy/dx = f(x, y)[/tex] is [tex]\frac{-x}{y+2}[/tex]

Step-by-step explanation:

Step 1 of 3

a) Acceleration[tex]$\rightarrow v^{\prime}(t)$[/tex]

velocity [tex]$\rightarrow v(t)$[/tex]

Given that [tex]$v^{\prime}(t) \propto v^{2}(t)$[/tex]

[tex]\frac{d v}{d t}=k v^{2}[/tex]

[tex]k[/tex]  is proportionality constant.

Step 2 of 3

b) The population of Zootopia in year [tex]$t$[/tex], is [tex]$P(t)$[/tex]

Let [tex]$\beta$[/tex] the 'birth rate of Animals and [tex]$\delta$[/tex] the death rate of the population.

Then the population model is

[tex]\frac{d p}{d t}=(\beta-\delta) P$$[/tex]

Given that [tex]$\beta=50000$[/tex] and

[tex]$\delta=40000$[/tex]

So, [tex]$\frac{d P}{d t}=10000 P$[/tex]

Step 3 of 3

c) First we take the derivative of [tex]$f(x)$[/tex] i. e [tex]$f^{\prime}(x)$[/tex].

The evaluate it at [tex]$m_{1}=f^{\prime}(2)[/tex]

[tex]m_{2}=\frac{-1}{f^{\prime}(2)}$[/tex]

The normal line with slope [tex]$\frac{-1}{f^{\prime}(2)}$[/tex]

[tex]y-(-2)=\frac{-1}{f^{\prime}(2)}(x-0) \\[/tex]

[tex]y+2=\frac{-x}{f^{\prime}(2)}[/tex]

[tex]f^{\prime}(2)=\frac{f x}{(y+2)} \\[/tex]

[tex]&f^{\prime}(2)+\frac{x}{(y+2)}=0[/tex]

[tex]\frac{d y}{d x}=\frac{-x}{y+2}[/tex]

Answer:

I think it's B (sorry if it is wrong)

Answer:

[tex] {g}^{2} - 9g + 14[/tex]

Step-by-step explanation:

[tex](g - 7)( - 2)[/tex]

[tex]g \times ( g- 2) - 7(g - 2)[/tex]

[tex] {g}^{2} - 2g - 7g + 14[/tex]

[tex] {g}^{2} - 9g + 14[/tex]

Hey there!

5x - 2

= 5(-1) - 2

= -5 - 2

= -7

Therefore, your answer is: -7

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

The distance from the airport to the hotel was 14 miles

Step-by-step explanation:

Let the distance from the airport to your hotel is [tex]x\;\rm{miles}[/tex]

Now,

According to the question, the cost of the taxi for the [tex]x\;\rm{miles}[/tex] distance is, [tex]\rm{Cost}=\$(1.35x+2.95)[/tex]

You booked the cab and pay $21.85 for traveling from the airport to your hotel.

So,

Cost = $21.85

Therefore,

Substitute the cost value in the above equation.

[tex]\$21.85=\$(1.35x+2.95)\\1.35x=18.9\\x=14[/tex]

To know more about it, please refer to the link:

Hey, wanna pair our account on Brainly so we can share the perks? https://brainly.com/invite/f79a5c1f6e65fb5b41d0f190420ef01b?utm_source=invite&utm_medium=link&utm_campaign=bfp_qpage_box&utm_term=parent

Answer:

the third term is 6x making 6 the coefficient

the second term is 4xy making the 4 the coefficient

Step-by-step explanation:

Answer:

33

plsss mark brainliestt

Step-by-step explanation:

4(7)+23+2/8-3

28+25/5

28+5=33

[tex] \large \mathfrak{Answer : }[/tex]

The equation of the red parabola is :

therefore , correct option in A

Given :-

5 years ago, Ram's mother was five times his age

Ram's Mother is now thrice as old as him.

To find :-

Present age of Ram

Present age of Ram's mother

Solution :-

Let the present age of Ram be x years

Let the present age of Ram's mother be y years.

As per the first condition,

5 years ago, Ram's mother was five times his age

5 years ago,

Ram's age = x - 5

Mother's age = y - 5

Let's represent the first condition mathematically to get our first equation.

y - 5 = 5 ( x - 5)

y - 5 = 5x - 25

5x - 25 = y - 5

5x - y = - 5 + 25

5x - y = 20 -----> 1

As per the second condition,

If his mother is now thrice as old as him

Ram's age = 3x

Mother's age = y

Let's represent this too mathematically. Here we will get just the value of one of the variables, either x or y.

y = 3x

Substitute, y = 3x in equation 1,

5x - y = 20 ----> 1

Plug in the value of y,

5x - 3x = 20

2x = 20

x = [tex]\frac{20}2}[/tex]

x = 10

Present age of Ram = x = 10 years

Substitute, x = 10 in equation 1,

5x - y = 20 ---> 1

5 ( 10 ) - y = 20

50 - y = 20

- y = 20 - 50

- y = - 30

[canceling minus from both sides]

y = 30

Present age of Mother = y = 30 years

•°• Present age of Ram = 10 years.

For first case :-

5 years ago, Ram's mother was five times his age

Present age of Ram = 10 years

5 years ago,

Ram's age = 10 - 5 = 5 years

Present age of Mother = 30 years

5 years ago,

Mother's age = 30 - 5 = 25 years

Let's check if the ages satisfies the first condition,

Mother's age = 5 ( Ram's age )

25 = 5 ( 5 )

25 = 25

LHS = RHS.

For second case :-

His mother is now thrice as old as him

Mother's age = 30 years

Ram's age = 10 years

Let's check whether the second condition is satisfied or not.

Mother = 3 ( Ram's age)

30 = 3 ( 10)

30 = 30

LHS = RHS.

Hence the answer is verified.

Answer:

All the possible factors for 12 are: 1,2,3,4,6,12

Answer:

C. 9

Step-by-step explanation:

Since the greatest factor that both fits in 81 and 36 is 9, the GCF is 9.

Answer: I Think It’s A 315.786

Step-by-step explanation: Let me know if that’s correct

9514 1404 393

Answer:

Step-by-step explanation:

The digital roots of the single-digit numbers 1-9 are just those numbers.

For numbers 10-18, the digits are the numbers 1-9, as for the numbers 19-27. In short, the digital root values are sequential, matching the remainder from division by 9 (except that numbers evenly divisible by 9 have a digital root of 9).

We also note that numbers divisible by 3 will have a digital root that is divisible by 3.

So, the patterns we notice are ...

_____

Additional comment

This is a consequence of our base-10 number system and modulo arithmetic. In a base-N number system, the "digital root" will be the value of the number modulo (N-1), again with the exception that 0 is replaced by (N-1). Divisors of (N-1) will also be divisors of the number if they divide the digital root.

Answer:

A) 30 months

B) RM282

Step-by-step explanation:

a1=50+(1-1)8

a1=50+(0)8

a1=50

a2=50+(2-1)8

a2=50+(1)8

a2=58

So this is true.

The formula is an=50(n-1)8

Hope this helps

x = a√2

a = 8

x = 8√2 ← the end answer

9514 1404 393

Answer:

  c  x^2

Step-by-step explanation:

As with many of these "doesn't belong" questions, you can make a rule that will exclude any one of the possible choices.

a) the only expression with a negative added constant

b) the only expression with parentheses

c) the only expression with a degree of 2 (and the only one that is a single term)

d) the only expression not involving x

__

I might choose (C), the 2nd-degree, single-term expression because there are a couple of reasons why it does not belong.

_____

Additional comment

The line at the bottom of the figure tells you (a) there is more than one "right" answer, and (b) each choice has at least 2 reasons why it doesn't belong.

3x-4=5

1. 3x=9

and

5. -4=5-3x

Answer:

1/8

Step-by-step explanation:

Answer:

X = 111°

I hope it's helps you

-x - 10 > 14 + 2x

-x - 2x > 14 + 10

-3x > 24

Answer: A

Hey there! Here's your answer:

The missing steps are :  -3x > 24

Here's why:

The inequality is: -x - 10 > 14 + 2x

Now, we need to find the solution of the given inequality:

= x - 10 > 14 + 2x

Subtracting 2x from both the sides:

= -x - 10 - 2x > 14 + 2x - 2x

= -3x - 10 > 14

Adding 10 on both the sides:

= -3x - 10 + 10 > 14 + 10

= -3x > 24

Now, dividing both the sides by -3:

= x < -8

Therefore, the missing steps are:  -3x > 24

Hope this helps!

Answer:

0

Step-by-step explanation:

You can't divide anything by zero

0÷0=

=0

The answer is in the picture provided below. :)

Answer:-6 and -1

Step-by-step explanation:

Step-by-step explanation:

I have been a while. I have been a while to find a place on a daily, and a bit. I have been made in a couple. This email and any files which I think it was not the same. We will have the same. We will have the same. We will have the same. We will have the same

Answer:

The relation cannot be a function if k=-9 or k=7

Step-by-step explanation:

For any relation not to be a function, one domain value should return more than one range.

==>  2-|k+1| = -6

Adding -2 on both sides,

-|k+1| = -8

Multiplying by (-1) on both sides,

|k+1| = 8

k+1 = 8    ;    -k-1 = 8

k = 7        ;    -k=9 => k=-9

k=7 or k=-9

9514 1404 393

Answer:

  A: ∠WXZ = 87°; ∠ZXY = 73°

Step-by-step explanation:

Ray XZ divides the angle WXY into parts that have a sum equal to the whole.

  (7x-4)° +(5x+8)° = 160° . . . . . whole is sum of parts

  12x = 156 . . . . . . . . . . . . . divide by °, subtract 4

  x = 13 . . . . . . . . . . . . . . divide by 12

  ∠WXZ = (7x -4)° = (7·13 -4)° = (91 -4)° = 87° . . . . . matches choice A

Answer:

$41.50

Step-by-step explanation:

$39.95×4%=1.59

$39.95+1.59=$41.54

rounding total $41.50

Answer:

vertex = (2, - 1 )

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 ) , then

The x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = x² - 4x + 3 ← is in standard form

with a = 1, b = - 4 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{2}[/tex] = 2

Substitute x = 2 into f(x) for corresponding y- coordinate

f(2) = 2² - 4(2) + 3 = 4 - 8 + 3 = - 1

vertex = (2, - 1 )